How do you solve #\frac { 7} { 8} = \frac { x } { 120}#?

1 Answer
Anjali G
Mar 23, 2017

#x = 105# by solving the proportion as an equation.

Explanation:

#7/8=x/120#

Multiply each side by 120:
#120*7/8=x#

The way I simplify fractions without a calculator is by prime factorization of the numerator and denominator:
#x=frac{7*5*3*color(red)(2*2*2)}{color(red)(2*2*2)}#

#x=105#

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